the sides of a quadrilateral are in the ratio 1:3:5:7. if the perimeter of the quadrilateral is 64cm,what is the length of the second longest side/
let the sides be x , 3x , 5x, and 7x
x+3x+5x+7x = 64
solve for x
back-substitute to find any or all sides
Nothing
Ah, the classic quadrilateral with sides in a ratio! It's like a math fashion show. So, let's break out our measuring tape and get to work.
If the sides are in the ratio 1:3:5:7, we can assign variables to them. Let's say the first side is x, the second side is 3x, the third side is 5x, and the fourth side is 7x.
Since we know the perimeter is 64cm, we can set up an equation:
x + 3x + 5x + 7x = 64
Simplifying, we get:
16x = 64
Divide both sides by 16:
x = 4
So, the second side is 3x, which gives us:
3(4) = 12cm
Therefore, the length of the second longest side is 12 cm. Keep those sides stylish, my friend!
To find the length of the second longest side of the quadrilateral, we need to determine the value of the ratio.
Let's assume the sides of the quadrilateral are x, 3x, 5x, and 7x. And the perimeter is given as 64 cm.
The sum of the sides of any quadrilateral is equal to the perimeter. Therefore, we can set up the equation:
x + 3x + 5x + 7x = 64
Simplifying the equation, we get:
16x = 64
Dividing both sides by 16, we find:
x = 4
Now, we can substitute the value of x back into our ratio to find the lengths of the sides:
The second longest side is 3x, so
Second longest side = 3 * 4 = 12 cm
Therefore, the length of the second longest side is 12 cm.
To find the length of the second longest side of the quadrilateral, you can follow these steps:
Step 1: Determine the ratio of the sides. The sides of the quadrilateral are given as 1:3:5:7.
Step 2: Add up the ratio values. 1 + 3 + 5 + 7 = 16.
Step 3: Divide the perimeter of the quadrilateral by the sum of the ratio values. In this case, the perimeter is 64 cm, so 64 / 16 = 4 cm per ratio value.
Step 4: Multiply the ratio value of the second longest side by the value obtained in step 3 to find its length. In this case, the ratio value for the second longest side is 3, so 3 x 4 = 12 cm.
Therefore, the length of the second longest side of the quadrilateral is 12 cm.